Riemann hypothesis and the arc length of the Riemann $Z(t)$-curve

Published 7 Apr 2014 in math.CA | (1404.1717v1)

Abstract: On Riemann hypothesis it is proved in this paper that the arc length of the Riemann $Z$-curve is asymptotically equal to the double sum of local maxima of the function $Z(t)$ on corresponding segment. This paper is English remake of our paper \cite{9}, with short appendix concerning new integral generated by Jacob's ladders added.

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Jan Moser

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